1) To solve this equation, we can simplify it first:

3^x - 5 - 9 = 6x

3^x - 14 = 6x

Next, we can rearrange the equation to isolate the variable:

3^x - 6x = 14

To solve this equation, we can use numerical methods or graphing calculators to find the approximate value of x. There is no simple algebraic solution for this equation.

2) To solve the inequality 30 ÷ x, 45 ÷ x, and x > 10, we can start by finding the common denominator of 30 and 45, which is 90.

So the inequality becomes:

90 ÷ x < 90 ÷ 10

9 < x

Therefore, the solution to the inequality is x > 9.

3) To solve the equation (x + 17) ÷ (x + 3), we can start by setting the denominator equal to zero:

x + 3 = 0

x = -3

However, this value of x would make the denominator zero, which is not allowed. Therefore, there is no solution to this equation.